Mathematics / Year 4 / Number and Algebra / Fractions and decimals

View on Australian Curriculum website Australian Curriculum, Assessment and Reporting Authority
Curriculum content descriptions

Recognise that the place value system can be extended to tenths and hundredths. Make connections between fractions and decimal notation (ACMNA079)

Elaborations
  • using division by 10 to extend the place-value system
  • using knowledge of fractions to establish equivalences between fractions and decimal notation
General capabilities
  • Numeracy Numeracy
  • Critical and creative thinking Critical and creative thinking
ScOT terms

Place value,  Simple fractions,  Decimals

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Year level 3-4
Resource type
Learning area Mathematics
Interactive Resource

Sites2See – number for primary

Selected links to a range of interactive online resources for the study of number in Foundation to Year 6 Mathematics.

Interactive resource

Swamp survival: hundredths patterns

Help the boy cross the dangerous swamp by making a path of stepping stones. Place the decimals in an ascending order, skip-counting by tenths or hundredths to form the path. Compare the decimal fraction on each stepping stone to the others to see if it is larger or smaller. Look for a skip-counting pattern. Put the decimals ...

Interactive resource

Swamp survival: hundredths challenge

Help the boy cross the dangerous swamp by making a path of stepping stones. Place the decimals in an ascending order to form the path. Compare the decimal fraction on each stepping stone to the others to see if it is larger or smaller. Look carefully at whole numbers and the tenths or hundredths. Put the decimals in order ...

Interactive resource

Swamp survival: hundredths counting

Help the boy cross the dangerous swamp by making a path of stepping stones. Place the decimals in an ascending order, counting by either tenths or hundredths to form the path. Compare the decimal fraction on each stepping stone to the others to see if it is larger or smaller. Look for a counting pattern. Put the decimals ...

Interactive resource

Decimaster: match-up 2

Explore ways of representing decimals using mathematical notation and visual tools. Match a decimal fraction between 0 and 1 such as 0.7. Adjust units on a range of visual scales and other representations. Work through these representations in any order: common fraction, number line, counting frame, dial, array and pie ...

Interactive resource

Decimaster collections: match-up 3

Explore ways of representing decimals using mathematical notation and visual tools. Match a decimal fraction between 0 and 4 such as 2.6. Adjust two sets of units on a range of visual scales and other representations. Work with a random selection of two of these representations: common fraction, number line, counting frame, ...

Interactive resource

Decimaster plus: match-up 3

Explore ways of representing decimals using mathematical notation and visual tools. Match a decimal fraction between 0 and 4 such as 2.6. Adjust two sets of units on a range of visual scales and other representations. Work with a random selection of two of these representations: common fraction, number line, counting frame ...

Interactive resource

Decimaster plus: match-up 1

Explore ways of representing decimals using mathematical notation and visual tools. Match a decimal fraction between 0 and 4 such as 2.6. Adjust two sets of units on a number line and a common fraction. Match three decimals with each tool. This learning object is one in a series of nine objects.

Interactive resource

Decimaster plus: match-up 2

Explore ways of representing decimals using mathematical notation and visual tools. Match a decimal fraction between 0 and 4 such as 2.6. Adjust two sets of units on a range of visual scales and other representations. Work through these representations in any order: common fraction, number line, counting frame and dial. ...

Interactive resource

Decimaster: match-up 3

Explore ways of representing decimals using mathematical notation and visual tools. Match a decimal fraction between 0 and 1 such as 0.7. Adjust units on a range of visual scales and other representations. Work with a random selection of two of these representations: common fraction, number line, counting frame, dial, array ...

Interactive resource

Decimaster collections: match-up 1

Explore ways of representing decimals using mathematical notation and visual tools. Match a decimal fraction between 0 and 4 such as 2.6. Adjust two sets of units on a collection (represented by fishbowls) and adjust a common fraction. Match three decimals with each tool. This learning object is one in a series of nine objects.

Interactive resource

Decimaster collections: match-up 2

Explore ways of representing decimals using mathematical notation and visual tools. Match a decimal fraction between 0 and 4 such as 2.6. Adjust two sets of units on a range of visual scales and other representations. Work through these representations in any order: common fraction, number line, counting frame, dial and ...

Teacher resource

MoneySmart: How much love can fit into a shoebox?

This is a year 4 mathematics unit of work about preparing a 'shoebox of love', a gift-filled shoebox to be sent to a child in need. The unit is intended to take about 11 hours of teaching and learning time. It consists of an introduction, seven student activities and teacher notes on curriculum, pedagogy and assessment. ...

Teacher resource

Modelling numeracy lessons

A teacher works with other year 3 and 4 teachers in her school to design and implement explicit mathematical learning experiences for students.  Collaboratively, they select and use content and resources for numeracy lessons suited to the strengths and needs of individual students from diverse backgrounds. She understands ...

Tablet friendly (Interactive resource)

Wishball challenge: whole numbers

Test your understanding of decimal place value with whole numbers. Receive a starting number, such as 3786, and work towards turning it into a target number, 7664. Spin a random digit, choose its decimal place value and use the given operation (either addition or subtraction) on your starting number. Be careful not to overshoot ...

Tablet friendly (Interactive resource)

Cassowary ecology quiz

Explore facts about the life of cassowaries: physical characteristics; diet; habitat; life cycles; and locations. Interact with graphs to see how much people can help cassowaries. Work through ecology notes and resources. Answer questions as you go; express your answers as fractions. This learning object is one in a series ...

Collection

Mixed-Up Maths

Join our host, Ed, as he finds himself in all types of situations where only his knowledge of Maths can help him. From saving the planet from Aliens, to creating a superhero that can stop a strawberry milkshake tidal wave. From searching for buried treasure, to jumping like a daredevil, or planning the greatest circus party ...

Tablet friendly (Interactive resource)

Wishball: whole numbers

Test your understanding of decimal place value with whole numbers. Receive a starting number, such as 3786, and work towards turning it into a target number, such as 7664. Spin a random digit, choose its decimal place value and decide whether to add or subtract the random digit from your starting number. You can use a 'Wishball' ...

Collection

Mental calculation strategies - addition and subtraction

This collection of 21 digital curriculum resources focuses on assisting students to develop efficient and effective mental calculation strategies for performing additions and subtractions of two-, three- and four-digit whole numbers. It is organised in three categories: developing strategies - addition; developing strategies ...

Teacher resource

Top drawer teachers: fractions

This is a web page that comprehensively covers the teaching of the conceptual understanding of fractions through links to six sections. The first section covers the ‘Big ideas’ behind fractions, while the second section uses research findings to identify some common misunderstandings when learning fractions. The third explores ...

Teacher resource

Primary mathematics: open-ended tasks

These seven learning activities, which focus on 'open-ended tasks' using a variety of tools (software) and devices (hardware), illustrate the ways in which content, pedagogy and technology can be successfully and effectively integrated in order to promote learning. In the activities, teachers use investigations in order ...

Collection

Building basic fraction skills

This collection of 13 interactive learning objects is organised into four categories - introduction to fractions; naming fractions; fraction applications; and comparing and ordering fractions. The learning objects develop an understanding of the relationship between spatial, symbolic and written forms of a fraction. They ...

Moving Image

What are equivalent fractions?

Look at our fraction wall to see if you can find fractions that are the same in value (equivalent). Try finding a fraction that is equivalent to a half (1/2). How many quarters (1/4) are equivalent to 1/2? Here's a tricky one: what fraction is equivalent to 3/4? Use the fraction wall to help.

Teacher resource

Counting games - years 1 and 2

This is a teacher resource that includes a set of student activities including counting games, focusing on numbers to 100, accompanied by copy masters and a detailed teacher guide for each activity. The games include the Korean number counting game sam yew gew - referred to as 'sam-yuk-gu' in the Australian Curriculum. ...